Answer
$t^5+7t^4-2t-14$
Work Step by Step
Using $(a+b)(c+d)=ac+ad+bc+bd$ or the product of $2$ binomials, the given expression, $
(t^4-2)(t+7)
$, is equivalent to
\begin{array}{l}\require{cancel}
t^4(t)+t^4(7)-2(t)-2(7)
\\\\=
t^5+7t^4-2t-14
.\end{array}